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Finding the Third Proportional to 1,714,742.16 and 2,631,405.23

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Solution

The third proportional to 1,714,742.16 and 2,631,405.23 is: 4,038,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,742.16 : 2,631,405.23 = 2,631,405.23 : x
  2. Step 2: Convert to fraction form
    1,714,742.16/2,631,405.23 = 2,631,405.23/x
  3. Step 3: Cross multiply
    1,714,742.16x = 2,631,405.23 × 2,631,405.23
  4. Step 4: Simplify right side
    1,714,742.16x = 6,924,293,507,496.15
  5. Step 5: Solve for x
    x = 6,924,293,507,496.15/1,714,742.16
  6. Step 6: Final answer
    x = 4,038,096.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.